Essays on Algebra

Introduction

Nowadays, Math is comparatively accessible discipline to everyone, who is eager to master it, and has some basic logical skills. It is because of the wide range of contemporary textbooks, hundreds of helpful websites and numerous highly-qualified teachers and professors, who are not only acquainted with the discipline itself, but are also talented in the art of teaching. However, the situation was not so bright in the old times, when the books on Math could not have been comprehended by a common person. Moreover, many theoretical and practical issues still had not been resolved, which complicated the teaching process ...

As I sit down to write a few lines on my experience related to mathematics, I find myself at a loss to describe mathematics, as I understand. I have read that mathematics is a science related to numbers and their operations, measurements, and abstractions. This evokes memories of childhood and how I dreaded numbers. How I hated memorizing multiplication tables. When I was in elementary school, I failed to recite the multiplication tables and my teacher punished me. This had profound effect on my young psyche. She forced me to write the tables ten times because she felt that ...

Narrative: Studying at UCA

During my life, growing up in Saudi Arabia, I worked for several different insurance companies and learned over time it was what I wanted to do with my life. From a young age, I loved it and wanted to pursue an education in the field. Today, I am only twenty-seven years old, and as an undergraduate, I have begun studying insurance and risk management in an effort to achieve this dream. There have been many obstacles along the way, but I have always proven to myself that if I stay dedicated and committed to my education and the plans ...

Problem 1. Yowie

Part 1 The first stage was actually taking all the required physical measurements of all the group participants. They can be found in Tab.1: The only ratio we were familiar with was the one proposed by the assignment (height : arm span = 1 : 1), so we checked it. Based on our measurements we were able to make a conclusion that this ratio is actual but not precise. In our data, the ratios were: Courtney 167 : 160 = 1.04 : 1, Angela 169 : 170 = 1 : 1.01, Steev 176 : 180 = 1 : 1.02, Danielle 155 : 150 = ...

Al-Khwarizmi is the great mathematician, astronomer, geographer and the founder of classical algebra. Although the life of Al-Khwarizmi is little known, he left us his works that cover different areas of knowledge: mathematics, astronomy, geography. Works of Al-Khwarizmi in mathematics are the most know. Two treatises such "The Book about the Indian account" and "Calculation by restoration and reduction" were translated into Latin and served for a long time the basic textbooks on mathematics. The arithmetic treatise of Al-Khwarizmi had an enormous influence on the development of science in the East and then in Europe. This work became the ...

In comparison to the 1980’s, juvenile delinquency has been on the rise throughout the 1990’s and 2000’s. Personality traits and psychological theories explain delinquent behaviour among the juveniles. Psychological issues such as mental illnesses, dysfunctional homes, and influential songs and videos could have triggered events that led Bale Dale Loukaitis to hold algebra students hostage at the Front Middle School. The Psychiatry and psychoanalytical approach together with general personality trait theories would help understand the underlying factors to Loukaitis’ violent behaviour. To counter delinquency psychodynamic – psychoanalytical theories and personality theories can help identify common delinquents’ characteristic ...

1. Frequency Distribution Table (Mathway) 2. Mean Relative Frequency= ∑fM∑f= 143821 = 68.50 (Mathway) Mean of all Data = ∑xn= 1484.921 = 70.710 The two values are different because in the first method, the midpoint of every class produces an average value of that class. The sum of the midpoints differ from the sum of all values, and as such they will have different mean values since both will be divided by the total frequency. 3. Chebyshev’s Rule 80 %= 0.8 = 1- [1/(k^2)]; k = square root of (1/0.2) = 2.236 deviation from the mean=k x standard deviation=2.236 x 29.285=65.483

Lower ...

Application of Juvenile Delinquency Concepts

Introduction The juvenile is a person who has not reached his or her eighteenth years of age and delinquency is the violation of law. Hence, the term “juvenile delinquency” refers to the violation of the law done by a minor that would be considered a crime if would have been done by an adult who have reached the age of eighteen or passed this age (Office of the United States of Attorney, n.d).

Summary of key aspects

The story of Barry Dale Loukaitis has been selected for examination. The key aspects of the story are that it shows the impact of wrong beliefs ...

Lab Experiment #4: Fundamentals of Electric Circuits

Goals The main objective of this laboratory practice is to gain understanding on the basic laws that describe electric circuits and their application.

Background and Theory

Ohm’s Law. According to Alexander and Sadiku (2013), “Ohm’s Law states that the voltage v across a resistor is directly proportional to the current i flowing through the resistor” (p. 31). The constant of proportionality is the element’s resistance, R, which depends on several factors that will not be analyzed in this report. The equation for Ohm’s Law is then: v=iR (where v: voltage, i: current and R: resistance). The units for ...

For any person intending to take an engineering course, he or she must be willing to tackle mathematics units. The computation required for the engineering includes College Algebra, Trigonometry, Geometry, Statistics, Liner Algebra, Differential Equation, Calculus 1 and 2. (Nieße, Tröschel and Sonnenschein 37-51) The study of mathematics in engineering is a process that requires continuous fundamental learning of things. It goes beyond just learning “order” and further emphasizes on the “design” process. The goal of studying engineering is to learn, understand, and use the concept of laws of science within the needs of the society and ...

What many business majors fail to realize is that Algebra is absolutely crucial to their progression throughout their professional degree program. The reason that algebra is so vital to their business career strategy is that Algebra is utilized in many ways in the business world depending on which sector that you decide to work in for the long term. Where the knowledge of Algebra comes in is when you are tasked with the objective of solving equations in everyday problems that utilize Algebra. When we look Algebra in high school, we learned a great deal about how Algebra could ...

The issue of gender disparity is commonly discussed with people raising a concern about how women and men do not have similar opportunities. The world continues to evolve and women today have broken barriers in a number of male-dominated fields. However, there are still issues of disparity in fields of science and engineering. Most women who have pursued a career in STEM-related fields have not joined the science and engineering fields. The following is a look at the statistics showing the existence of the problem, followed by recommendations on how the issues can be addressed. Studies show that there ...

Abstract

Given that the relationship between music education and mathematics education has been speculated for a long time, the study seeks to investigate whether music education has effect on mathematics education or not. It is perceived that children who learn mathematics through music and dance tend to be more active, and would retain the same information well even by verbal instructions. Using a controlled randomized experiment, the study will involve 6th grade school going children from one city. Before the tests are administered in the factors, as music and mathematics, letters seeking permissions from parents will be sent. The letters ...

Mathematics is the queen of sciences. It gives us a lot of things that successfully find their application in various scientific spheres but seem to be completely useless in ordinary daily life. One of such things is a matrix. Matrix helps us to solve differential equations, but one could say that its practical application looks rather vague. However, this statement is inaccurate. The aim of this paper is to discuss matrices and to observe their use in everyday life. For a start, let’s make a brief overview of matrices and their scientific applications. According to the textbook, a ...

The word depression (/dɪˈprɛʃən/), a noun which was introduced to the English language by the turn of the fifteenth century, holds a wide range of meanings today. It can refer to an economic condition, an emotional one, or a physical one. The word even has a number of mathematical and scientific uses in the fields of algebra, geology, astronomy, and psychology. Depression originates from the Latin verb dēprimĕre, meaning “to press down.” Its current morphology is dated to 14th century French, depression (Oxford English Dictionary). The word first enters the English language as an astronomical ...

Men have always dominated in the field of mathematical studies, but some women managed to achieve there more success than their male colleagues. One of such outstanding women was Emmy Noether. Amalie Emmy Noether was a Jewish German mathematician and one of the most famous female scholars in the history of mathematics. She made significant contributions to theoretical physics and abstract algebra and established the theories of fields, rings, and algebras and famous Noether’s theorem that demonstrated bindings between conservation laws and symmetry. As Nathan Jacobson said, “Emmy Noether was one of the most influential mathematicians of the ...

Introduction

The study of mathematics plays a backbone role in education, developing human cognitive abilities, including logical thinking abilities, affecting the teaching of other disciplines. High-quality mathematics education is necessary for everyone for his/her successful life in modern society. Modern educational concepts declare the creative development of the individual, but the practical implementation of this goal is not well worked out, at the same time school teacher is obliged to solve the problem. In practice, even strong students who have a good mathematical thinking and great store of knowledge, are not ready to work in the situations new for them, ...

REPORT NUMBER 2

The report presented is the sole work of the author.  None of this report is plagiarized (in whole or part) from a fellow student's work, or from any un-referenced outside source.

AIM:

The purpose of this experiment is to: Investigate the voltage switch over the points required for logic high or low levels. Prove experimentally different Boolean laws and logic theorems. Use different logic laws and theorems, to simply a combinatorial logic circuit. INTRODUCTION: This level detector circuit is based upon a LM311 Digital Comparator. This digital comparator is a device that produces an output level, either high or low ...

Thesis: Mathematics and computers are intertwined in which mathematic improves understanding of computer, and the computers improve the understanding of the mathematics.

Working bibliography

Comninos, Peter. Mathematical and Computer Programming Techniques for Computer Graphics. London: Springer Science & Business Media, 2010. Print. Comninos argues that mathematics subject is the basic and essential element in the computer programming techniques applied in the Computer Graphics. The mathematical ideas form the framework for understanding the two-dimension and three-dimension concept in the computer graphics. For instance, the book suggests that there is a relationship between the C programming language and the related techniques of mathematics. Ke, ...

Abbasid Caliphate

During the time that Europe was still grappling with the Dark Ages, civilization and knowledge revolution was being adopted in Baghdad. In this regard, Muslim scholars were gathered in the House of Wisdom under the leadership of the Abbasid Caliphate. The House of Wisdom was instituted with the focus of promoting the translation of scientific related texts and concepts. They endeavored to conserve information related to classical civilizations which lay a basis for the formation of academic disciplines which still maintain their relevance in the current society. The Abbasid Caliphate sought to spread Islam through conquest and conversion in ...

Rene Descartes was a famous French physicist, mathematician, philosopher and physiologist. He was the founder of modern European rationalism. Descartes was one of the most influential metaphysicians of modern times. The scientist was born on March 31, 1596 in France. Since the parents were nobles, the boy received a good education. In 1637, René Descartes published his famous work, published in French, - "Discourse on the Method" ("The Geometry Of Rene Descartes | Mathematical Association Of America"). The scientist was the first who introduced the coefficients of equations, variables, and designated degrees. He has modified the symbols of Wyeth’s ...

Trigonometric computations are used in nearly all fields of geometry, physics and engineering. The triangulation technique has the great importance, which allows measuring the distance in astronomy and geography, monitoring the satellite navigation system. Also trigonometry is used in such areas as music theory, acoustics, optics, analysis of financial markets, electronics, probability theory, statistics, biology, medicine and so on. Daniel Bernoulli, Fourier and Cauchy made a huge contribution to the involvement of trigonometry and developed the idea of trigonometric series. In the middle of the XVIII century, appeared the most important in its consequences "argument of a string". Euler ...

Abstract. In recent time, connectomics which is filed aimed to construct wiring diagram of the brain at the level of synapses and their connections has gained an increasing interest and is very promising for neuroscience. Advance in technology allow to acquire huge volumes of data and the challenge for researchers and scientist now is storage, visualization, and processing of the data. Developing GPU technology provides effective solutions for computing on large datasets and its visualization. Moreover, several recent work propose techniques for optimized segmentation, reconstruction, proofreading, and visualization of connectome. However, existing solutions are still not efficient enough and ...

Abstract

Kirchhoff’s law states that the total of the emf values in a closed loop equals the sum of the potential drops in that loop. Kirchhoff’s first and second laws are used to verify that in a closed loop, energy is neither created nor destroyed (Scherz, Paul, and Simon Monk 2013). Energy is converted from one form to another. Electric charge is given the necessary energy to flow in the circuit by the electromotive force source, preferable batteries into circuit elements. Electrical energy is converted into heat energy recorded as impedance in capacitors, resistors, or inductors. In the ...

Modern technology has brought the revolution in the lifestyles of today human beings. It has turned the society into more casual and less hard working. It also has changed students` attitude towards attending classes. Because of such technological achievements, students feel less responsibility in attending them. However students` presence at regular classes should be mandatory if students want to score good grades, which results college performance, and socialize themselves. For sure, student`s personality is shaped through attending classes on a regular basis. Responsibility – is what is trained among students by their teachers at classes (Kanar). Better responsibility for ...

James Baldwin wrote the short story Sonny’s Blues in 1957 and one of the main themes in it is music. The story is about the relationship between two brothers who lost their parents and the older one takes care about the younger one, Sonny. Music is about expressing feelings and Sonny is a person who is very emotional and prone to the feeling of sadness, which is why he finds comfort in music that takes away all the pain. The narrator is the older brother and he is a serious man who teaches algebra in school. Sonny is ...

Abstract

The Sonny’s Blues story begins at the point when a narrator, who remains unnamed in the story, but was identified as an algebra teacher reads the arrest of his brother who had been charged with selling Heroine. The teacher is therefore deeply perturbed and the thought of his brother keeps reminding him of the students in his class who also face the realities and the possibilities of the hostile world. The narrator again fails to pay a visit to the brother for a very long period until the time of the tragic death of his daughter. At this ...

1. Introduction. Digital signal processing is a very mathematical subject so main mathematical ideas should be outlined to ensure a successful learning. 2. Algebra. Algebra is a systematic notation of quantitative relationship between expressions divided (or joint) by the sign ‘=’ and the collection of rules to manipulate such expressions and values (variables) they contain. 3. Functions, Numbers, and Graphs. Functions are used to denote relations (dependencies) between variables: if one variable depends on another, then the latter variable is called the independent variable, while the former is called the value of the function. If we use the horizontal axis ...

DeMorgan’s Theorem is one of the most important transformation rules in digital electronics. It is a pair of transformation rules which could be applied in propositional logic and are both valid for rules of inference. It was named after its developer Augustus De Morgan who is a British Mathematician. The simplest way to define DeMorgan’s Theorem is that the logical expressions remains unchanged when the inversion bar of the expression is broken and the operation is changed to its opposite. DeMorgan’s Theorem come about in order to simplify logical expressions in mathematics. It was influenced by ...

Communication is an activity, through which people give, receive, or exchange facts, ideas, needs, observations and feelings, intentionally or unintentionally through spoken words, drawings, signals, notes, and behavior. Communication is a social activity involves interaction of people either physically or through appropriate media. Apart from being continuous, it is vibrant, multifaceted and frequently changes. Defining communication is complex; many varying definitions exist with each person having a different version (West & Turner, 2007). Personally, communication is very important to the human nature because it affects all the facets of our day-to-day lives. We use communication to understand our environment and our lives ...

In this paper we summarize what’s written in the book “Elementary Linear Algebra” by Howard Anton & Chris Rortes. The book describes the basic methods of elementary linear algebra, linear nature of considering objects: vector (or linear) space, linear transformations, systems of linear equations, quadratic and bilinear forms. The main linear algebra tools considered in this book are systems of linear algebraic equations, determinants, matrixes, conjugation.

The book consists of ten chapters; each part describes one of the major areas of linear algebra.

The first chapter is “Systems of Linear Equations and Matrices”. A System of m linear algebraic equations with n unknown variables (or linear system, also used the abbreviation SLAE) ...

Abstract.

This paper explores a detailed plan to promote achievement and success among the sixth grade middle school students in the math discipline. It focuses on the decreased mastery of this discipline among this target group. Looking at possible ways to improve the mastery of maths subject among the sixth grade students, the paper identifies the characteristics of this population, and explains why the population is any target of discussion. It outlines the problems the group is experiencing in details, and establishes ideas, theories and practises that can promote achievement and success among the sixth grade students in the mathematics discipline. ...

Introduction

Security systems are undergoing development with the development of cryptographic protocols that help to secure these communications channels. There have been extensive researches that have been carried out to come up with better security mechanisms that will secure information systems. A cryptographic protocol is a protocol which makes use of cryptography so that they are able to achieve their goals, these goals could include sending private or public keys over the network. There are protocols that are used for securing security systems. This paper will focus on two protocols, NRL analyzer and Bellare-Rogaway model (Tanenbaum, 2003).

NRL analyzer

How it works

It ...

The purpose of the lesson, which was to prepare students for pre-algebra, was made clear by the teacher. However, as the lesson proceeded, the teacher explained that the students could use the pan-balance to replace objects with other variables. These variables could be used in working out uncomplicated algebraic expressions. The flow of the lesson deviates from the key purpose. This creates an element of contradiction from the initial purpose of the study. At the end of the lesson, the students had learnt on replacements other than understanding the key concepts of pan balance and pre-algebra.

The teacher is ...

Set theory is an essential language in learning mathematics, especially in algebra. Set theory, when is a prerequisite to algebra and other mathematical abstract concepts, it enhances their cognition. Dogan (2011) argues that cognitive difficulties in understanding abstract mathematical concepts results from the failure to master set theory language. Dogan (2011) found that set theory language is essential for proper response to linear algebra problems. Moreover, his study revealed that misconception of algebra and other abstract mathematical concepts was highly contributed by lack of mastery of set theory language. There are three elements of set theory that are critical in ...

Is being educated in all subjects necessary in every profession?

"You have to learn, young man. Philosophy. Theology. Literature. Poetry. Drama. History. Archeology. Anthropology. Mythology. Music. These are your tools as much as brush and pigment. You cannot be an artist until you are civilized. You cannot be civilized until you learn. To be civilized is to know where you belong in the continuum of your art and your world. To surmount the past, you must know the past." This particular statement by Mark Rothko to a budding artist from the play “Red” by John Logan notes that to be civilized, one must understand a variety of disciplines before he can ...

Abstract

The element of teacher bias in the education institutions is of great significance to the educational development of the students. It is important in the sense that it provides insights into the role of the integration of the students and the teachers for educational success. Research has been conducted to determine the potential effects of the teacher bias on the educational achievement of the students. This research encompassed both the qualitative and the quantitative methods in identifying these concepts. Classroom observations were conducted for the research and results drawn and analyzed from the data. The results of this research ...

Application of Algebra in computing

Algebraic principles are used extensively in computing. In computer science, the computer algebra is called algebraic computation or symbolic computation. This is used mainly in software development and the associated algorithms that are used in the manipulation of mathematical expressions and objects. Kaltofen Erich (1982) noted that the long-known algorithms that were being used proved to be very long and this necessitated the revisiting of classical algebra with the intention of making them effective and efficient. In specific terms, algebra is used in the following fields of computing. Encoding: in encoding, data that is arranged in arrays or ...

Before the onset of the seventeenth century, the Middle East had dominated in the area of mathematical ideas. Many philosophers and scientists came up with compelling ideas in mathematics and proved many formulas in mathematics from the Middle East. Essentially, there were distinct factors that influenced scholars and philosophers from this region to be competent in mathematics and other scientific inventions as they were. However, in the onset of the seventeenth century, Europe replaced the Middle East, which had been vastly associated with mathematical discoveries. Europe thus became the new engine house of mathematical ideas from the seventeenth century . ...

Instructional leader

Abstract This essay will discuss tools, which will assist the educational leader in promoting the learning outcome and assessment of students by guiding, encouraging, motivating and supporting the school culture and offering instructional programs in the area of mathematics, which are conducive to student learning and the professional growth of staff members. Mathematical tools are measured and structured to assist teachers who can examine distinct or various approaches to improve the mathematics performance of students in middle school. Students that are in elementary grades 3 through 9 accept the challenge and the desire to succeed. According to research, ...

CRITIQUE OF “THE ALGEBRA OF INFINITE JUSTICE”

The Algebra of infinite justice is an article written by Arundhati Roy. Arundhati was born on Novemeber 24, 1961 in Shillong to a Bengali Hindu father and a Christian mother. She won a Booker Prize for her first novel-The God of Small Things in 1997. After that she wrote on many topics on politics, nuclear weapons s in India, corruption among others. One of her writing is “The algebra of infinite justice” where she criticizes the role of USA in the beginning, propagation, and methods to fight terrorist. She claims the USA is created terrorist and is attempting to destroy them. She ...

Principal concept analysis may be defined as the statistical analysis tool relevant for the transformation of detailed or complex data into simple and easy to understand data. The method focuses on the use of principal components of statistics for possible interpretations. In most cases, the method does not include statistical assumptions. However, the method will always give extremely significant results for data that contains multivariate normal distribution. The data is extensively significant in determining the hypothetical variables or components that are extensively useful in the multidimensional data. In other words, the method PCA is a method significant in projecting one-dimensional ...

Mid-Term

Cope Bloom’s Taxonomy in Mathematics Teaching Bloom’s and Anderson’s Taxonomy This paper discusses a brief history and background of the original Bloom’s taxonomy established in 1956 and the revised Bloom’s taxonomy by Anderson et al. in 2002. It attempts to explore how the taxonomy of learning in the cognitive domain is applied in a specific teaching field such as Mathematics. In 1956, Benjamin Bloom headed a committee of educators to establish a systematic hierarchy in classifying educational objectives. They published their findings in a book, Taxonomy of Educational Objectives: The Classification of Educational Goals (Bloom ...

The Binary System is the simplest numeration of all positional number systems. The basic of this system is discovered by Gottfried Leibniz, who was also the co-creator of Calculus, in his work Explication de l'arithmétique binaire in 1679. In this work, he was trying to translate verbal statements into mathematical ones. Yi Jing, which was said to be created by the so-called Third millennium father of Chinese writing Fu Xi, depicts yin and yang. It was represented in binary, with yin as 0 and yang as 1, involving eight trigrams and sixty-four hexagrams. Leibniz’s works were ...

Education is by far the most important activity in a person’s lifetime. It is said that education never ends and a person’s capacity to learn is only limited to his or her belief of the knowledge they possess. Educational institutions all over the world impart knowledge to young minds in various fields established by human kind throughout its existence. However, education is not only about gaining knowledge and certifying oneself (Hacker). It is about increasing one’s awareness, one’s own personality and one’s one perspective of the world around them. However, each individual has a different take on ...

Introduction to Electrical Engineering

Electronic gadgets are in great demands today because of the evolution of high technology and advancement of internet connection. People are always finding something new, so, many companies are giving funds for research. With the help of electrical engineers, companies are providing new gadgets every now and then to surpass the features of the previous gadgets that they have been produced. In order for the students to solve complexities of a problem, electrical engineering program gives an opportunity to learn new things by experimentation and analytic solving. Therefore, this program mainly tackles mathematics and science. Because of experimentation and ...

<Author’s Name> <Institutional Affiliation> Wolfram Alpha is modern powerful search engines that caters various fields of studies launched in May 2009. The design of these engines initially concentrates on formula and algorithm growth in Mathematics as a result of extensive and sustained data gathering conducted by the team . In the field of mathematics, it provides supports on specific categories of topics such as mathematical functions, algebra, computational sciences, probability and statistics, calculus and analysis, geometry as well as discrete mathematics. Beyond the common mathematical functions, the team of Wolfram recently added Bessel functions, zeta ...

<Student’s name> <Professor’s name>

Introduction Euclid (near 365 - 300 BC) is a Greek mathematician, lived in Alexandria, in the 3rd BC. The main work "Elements" (15 books), containing the basics of ancient mathematics, elementary geometry, number theory, the general theory of relations and the method of determining areas and volumes, which included elements of the theory of limits, has had an enormous influence on the development of mathematics. He worked on astronomy, optics, music theory. Information about the time and place of his birth did not reach us, but we know that ...

There are several mathematical formulae that mathematicians and scientists have come up with over time. These mathematics formulae solve or address several issues or problems in the real world or mathematical and scientific field. One of the well-known mathematicians is Augustin Louis Cauchy. He is credited for coming up with the Cauchy sequence (the Cauchy sequence is named after him). This paper explores the Cauchy sequence, explaining its nature, form, application, and other related aspects of the sequence. What is Cauchy sequence? This is a sequence whose elements become arbitrarily close to each other in the course of progression ...

The fundamental theorem of algebra (FToA) is states that each non-constant single-variable polynomial with complex coefficients has at least one complex root. In fact, there are many equivalent formulations, such as this: every real polynomial can be represented as a product of real linear and real quadratic factors. Early studies equations by al-Khwarizmi (from 800) are devoted only to positive real roots and have no relation to the FToA. Cardano was the first to realize that it is possible to work with the values ​​more general than real numbers (Geuvers, Wiedijk & Zwanenburg, 2002). This discovery was made in the ...

Solving Real-World Problems Using Algebra.

A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P= -25x2+300x . What number of clerks will maximize the profit, and what is the maximum possible profit?

Solution

The Quadratic equation P= -25x2+300x can be modified to the form y= -25x2+300x, where P= y. Modifying the equation in this form enables us to plot the function y= -25x2+300x

For various values of x where x is a positive integer.

The general equation of a quadratic is given by y= ax2+bx+c where a, b and c are the ...

The article, “Predicting Human Brain Activity Associated with the Meanings of Nouns” was written by Tom M. Mitchel, Svetlana V. Shinkareva and their five associates. The article was published in Science in May 2008. It outlined a computational program that predicted which parts of the brain were stimulated and would respond to certain words and images, or certain stimuli. I found several concepts of the article very interesting. For example, the basis of the article’s studies was founded on creating a computational framework subject to linguistics. In layman terms, a grid of the mind was drawn up, based on nouns. Scientists ...

Aims

The main aim of the experiment was to verify the vector cross product and its torque. Other aims were to understand the mathematical model of carrying out the vector cross product and to determine the equilibrium in a system under torque.

Introduction

In the manipulation of vectors through multiplication two kind of products are achieved, the dot product and the cross product. The dot product of a vector is a scalar quantity and hence it only has magnitude. An example of scalar quantity is work done by a force. The cross product of a vector produces a quantity that has both direction and magnitude. ...

200 Years of Eastern and Western Medicine and Science

200 Years of Eastern and Western Medicine and Science – Comparison of Developments between 1800-1900 1 Introduction Thesis Statement: The period between 1800-1900 marked the evolution of Eastern and Western science and a significant cultural exchange that laid the foundation of modern day globalized science. The purpose of this paper is to trace the development of science and medicine across two centuries in both the East and the West. The timeframe that has been selected for the study extends across the 19th to the 20th century which is a very ...

Validity and Scope of Approximate Methods of Integration

Introduction Addition of discrete numbers is pretty straightforward; more than 80% of the human population can make mental calculations instantly. So when integration was introduced as a kind of addition in a continuous domain, I was not very worried. However, it didn’t take me long to realize that understanding integration is more than solving a bunch of problems using well defined techniques. So in my pursuit to understand the topic well, I decided to research upon how some of these techniques (Trapezium Rule and Simpson’s Rule) came about, how they work, and what they really mean. With this intent, ...

QUESTION 1

Function – A function is the relationship that exists between an input and output such that one input has only one possible output. This implies that a function takes an input and produces an output based on the input (Cheney & Kincaid, 2012).

Examples

Linear function y = 2 x

Quadratic function

y = 2 x2

Third degree polynomial

y = 2 x3

Exponential function

y = e2x

Logarithmic function

y = log 2 x

Periodic function

y = sin x Domain of a function - The domain of a function is the set of inputs for which the output of the function exists (Cheney & Kincaid, 2012).The domain of linear function is (- ∞ to ∞), quadratic function is (- ∞ to ∞), ...

Kirchhoff’s Laws are fundamental in the analysis of electrical and electronic circuits. They describe the behavior of linear circuits accurately, and work well with approximations in other types of systems as well, making them extremely useful (“Electrical Principles”, 2013). Further, they are more popular and widely used than Maxwell’s equations, from which they can be derived. This is because Maxwell’s equations are very complex and involve brute Mathematics to solve even simple circuits, while the Kirchhoff’s laws are relatively much easier to use in most cases.

There are two laws which were given by Kirchhoff:

1) Kirchhoff’s Current law (KCL) 2) Kirchhoff’ ...

Given Traffic Scenario

Figure 1: The intersections of five one-way streets 1) There are five streets making six intersections. All the streets are one-way, that is, cars can move along only one direction on any street. The number of cars between intersections is the taken to be the traffic flows. For optimal flows, it is assumed that the number of cars entering an intersection in a given time must equal the number of cars leaving that intersection in that time. Also the number of cars entering and leaving any street per unit time is as mentioned in Figure 1. It is important ...

The properties of real numbers is a fundamental concept of basic algebra. Any given individual should be aware of these concepts as we may face them in our everyday lives without even noticing. When you actually are doing simple math operations while buying groceries or calculating your monthly expenses, you are dealing with real numbers, and, therefore, you should be aware of their properties in order not to make a mistake in your calculations. The distributive law, simplification procedures and operations with removing parentheses are important to know anytime you are facing a problem which involves calculations. The knowledge of these properties ...

“An educated Petersburg, is a successful Petersburg”

Introduction Petersburg is an independent American city found in the Virginia state of the United States. Its population is overwhelmingly black with an estimated percentage of 79. The city has got a rich industrial history and once supported a booming tobacco industry. Petersburg boasts of several schools in all learning levels.

Overview of the campaign

Generally, Petersburg education standards are adversely reviewed in all quarters. This is a view well rooted in the collective mind of the nation. Recently, a study was conducted on the relationship of education standards and affluence. It was noted that poorer kids do worse than their richer counterparts. The population in ...